论文标题
Boltzmann微域熵的高阶衍生物，额外的保守量
High order derivatives of Boltzmann microcanonical entropy with an additional conserved quantity
论文作者
论文摘要
在本文中，使用已知方法，使用Laplace Transform Technique对能量到第4阶的能量进行计算，并将其调整为总动量保守的情况。该计算的结果回答了一个理论问题，该问题涉及在除了能量以外还有额外保守数量的情况下与哈密顿流动相关的热力学描述。这对与古典哈密顿流量相关的微型典型热力学的数值模拟也具有实际兴趣。
In this article, using a known method, a computation is performed of the derivatives of the microcanonical entropy, with respect to the energy up to the 4-th order, using a Laplace transform technique, and adapted it to the case where the total momentum is conserved. The outcome of this computation answers a theoretical question concerning the description of thermodynamics associated with a Hamiltonian flow in presence of an additional conserved quantity besides energy. This is also of practical interest in numerical simulations of the microcanonical thermodynamics associated to classical Hamiltonian flows.
